7/13/2016 9:12 AM PDT

TMZ Sports has obtained Draymond Green's mug shot -- showing the NBA star smiling while wearing an "Attack the Glass" shirt ... after allegedly hitting a Michigan State football player.

Green was arrested on July 10th after allegedly attacking 22-year-old Jermaine Edmondson -- a senior cornerback on the MSU football team. He's 6'0", 185 lbs. Draymond is 6'7", 240 lbs.

According to the police report, obtained by TMZ Sports, at least two officers witnessed Green slapping Edmondson across the face outside of Conrad's bar in East Lansing, Michigan in the early hours of July 10th. One officer said, "The sound of the slap was very loud."

Cops say they spoke with Edmondson who says the slap was the culmination of a 2-day feud that began at another bar the night before.

Edmondson told police he was hanging out with his girlfriend when Green bumped into him. Edmondson says he told Green, "Hey bro, you can at least say 'Excuse me.'"

Green allegedly responded by saying, "Do you know who I am?" ... and added, "I pay for n**gas like you scholarships."

Edmondson says 2 of Green's associates then began to choke him out right in the bar. He later noticed that Green's associates choked his girlfriend as well.

Edmondson says he and his GF left the bar without contacting police -- and returned to the bar scene the next day to celebrate his birthday.

That's when he ran into Green again -- and was confronted by the NBA star. Edmondson says he told Green that "last night wasn't cool" and Green started to poke him in the shoulder.

Edmondson says he told Green to take his hands off him -- and that's when "boom I'm punched in my jaw."

Edmondson says he did not fight back -- and responding cops did not witness any retaliation.

Cops responded and he told officers his neck and face hurt and he did want to take further action against Green.